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Finding the Fourth Proportional to 11,562.96, 15,946.92 and 9,324

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Solution

The fourth proportional to 11,562.96, 15,946.92 and 9,324 is: 12,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.96 : 15,946.92 = 9,324 : x
  2. Step 2: Convert to fraction form
    11,562.96/15,946.92 = 9,324/x
  3. Step 3: Cross multiply
    11,562.96x = 15,946.92 × 9,324
  4. Step 4: Simplify right side
    11,562.96x = 148,689,082.08
  5. Step 5: Solve for x
    x = 148,689,082.08/11,562.96
  6. Step 6: Final answer
    x = 12,859.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.